Nonlinear Wave Packets in Deformed Honeycomb Lattices

DOI10.1137/120887618zbMath1295.41030OpenAlexW2013925395MaRDI QIDQ5408775

Yi Zhu, Mark J. Ablowitz

Publication date: 11 April 2014

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/f60de33b610775dd38bb0adfa511793859d0adfa

zbMATH Keywords

nonlinear Schrödinger equationKadomtsev-Petviashvili equationlong wave approximationeffective dynamicshoneycom lattice

Mathematics Subject Classification ID

Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) First-order nonlinear hyperbolic equations (35L60) NLS equations (nonlinear Schrödinger equations) (35Q55) Asymptotic expansions of solutions to PDEs (35C20)

Related Items (9)

Transverse instability of line solitary waves in massive Dirac equations ⋮ Dynamics in ‐Symmetric Honeycomb Lattices with Nonlinearity ⋮ Effective masses for Laplacians on periodic graphs ⋮ Wave packet dynamics in slowly modulated photonic graphene ⋮ Unfitted Nitsche's method for computing wave modes in topological materials ⋮ Wave Packets in the Fractional Nonlinear Schrödinger Equation with a Honeycomb Potential ⋮ Characterization of edge states in perturbed honeycomb structures ⋮ Nonlinear optical waveguide lattices: asymptotic analysis, solitons, and topological insulators ⋮ Rigorous derivation of nonlinear Dirac equations for wave propagation in honeycomb structures

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